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121434112240 = 24571226317683
BaseRepresentation
bin111000100011000001…
…0011000000011110000
3102121102221201001122121
41301012002120003300
53442144113042430
6131441442244024
711526151631440
oct1610602300360
9377387631577
10121434112240
1147555432951
121b650056614
13b5b334a7ac
145c3d9b8120
15325ad37a7a
hex1c460980f0

121434112240 has 80 divisors (see below), whose sum is σ = 322712345088. Its totient is φ = 41628803328.

The previous prime is 121434112229. The next prime is 121434112259. The reversal of 121434112240 is 42211434121.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6858439 + ... + 6876121.

Almost surely, 2121434112240 is an apocalyptic number.

121434112240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121434112240 is an abundant number, since it is smaller than the sum of its proper divisors (201278232848).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

121434112240 is a wasteful number, since it uses less digits than its factorization.

121434112240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29966 (or 29960 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

Adding to 121434112240 its reverse (42211434121), we get a palindrome (163645546361).

The spelling of 121434112240 in words is "one hundred twenty-one billion, four hundred thirty-four million, one hundred twelve thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 12263 17683 24526 35366 49052 61315 70732 85841 88415 98104 122630 123781 141464 171682 176830 196208 245260 247562 282928 343364 353660 429205 490520 495124 618905 686728 707320 858410 981040 990248 1237810 1373456 1414640 1716820 1980496 2475620 3433640 4951240 6867280 9902480 216846629 433693258 867386516 1084233145 1517926403 1734773032 2168466290 3035852806 3469546064 4336932580 6071705612 7589632015 8673865160 12143411224 15179264030 17347730320 24286822448 30358528060 60717056120 121434112240